Convert axis intercepts into the smallest integer Miller index triplet.
Last updated: June 2026 | By Patchworkr Team
Miller indices are the smallest integer triplet proportional to the reciprocals of the intercepts.
A zero intercept reciprocal becomes 0 because the plane is parallel to that axis.
1. Enter the a, b, and c intercepts in lattice units.
2. Use inf for a plane parallel to an axis.
3. Read the live integer Miller indices.
For intercepts 2, 3, and 1:
reciprocals = 1/2, 1/3, 1
clearing denominators gives (3, 2, 6)
The calculator should show (3 2 6).
Yes. The tool converts finite decimals into rational fractions first.
The plane is parallel to that axis, so the reciprocal is 0.
Yes. Negative intercepts produce negative Miller indices.
Because the reciprocal ratios are scaled to the smallest whole-number triplet.
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